Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
2 similar right triangles. Triangle 1 has side length 8, hypotenuse 10, and blank side. Triangle 2 has side length 4, hypotenuse 5, and blank side.
a.
StartFraction 4 Over 10 EndFraction = StartFraction 5 Over 8 EndFraction = two-fifths
b.
StartFraction 4 Over 8 EndFraction = StartFraction 5 Over 10 EndFraction = one-half
c.
StartFraction 10 Over 4 EndFraction = StartFraction 8 Over 5 EndFraction = Five-halves
d.
StartFraction 4 Over 5 EndFraction = StartFraction 8 Over 10 EndFraction = four-fifths

If the given right triangles are similar, that meanst they have a ration in common, that is, one of them can be double size the other one. In other words, they are related by a scale ratio.

Notice, that one hypothenuse is double the other one, that is, 10 is double than 5. Also, 8 is double than 4. This means the scale factor is 2, one triangle has double size than the other.

Therefore, the proportion that relates these triangles is

[tex]\frac{10}{5} =\frac{8}{4}=2[/tex]

or

[tex]\frac{4}{8}=\frac{5}{10}=\frac{1}{2}[/tex]

Therefore, the right answer is B.

offroadog09 offroadog09 · Answer 2 · 2020-12-14T17:27:52+01:00

offroadog09 offroadog09

14-12-2020

Answer:

b

Step-by-step explanation:

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